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Finding the Fourth Proportional to 101,593.63, 152,404.73 and 42,415.84

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Solution

The fourth proportional to 101,593.63, 152,404.73 and 42,415.84 is: 63,629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,593.63 : 152,404.73 = 42,415.84 : x
  2. Step 2: Convert to fraction form
    101,593.63/152,404.73 = 42,415.84/x
  3. Step 3: Cross multiply
    101,593.63x = 152,404.73 × 42,415.84
  4. Step 4: Simplify right side
    101,593.63x = 6,464,374,642.92
  5. Step 5: Solve for x
    x = 6,464,374,642.92/101,593.63
  6. Step 6: Final answer
    x = 63,629.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.